An uncertainty principle for ultraspherical expansions

DOI10.1006/JMAA.1997.5386zbMath0888.43008OpenAlexW2092962005MaRDI QIDQ1359638

Michael Voit, Margit Rösler

Publication date: 27 April 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/de01388842dbbd8cc5068021ac06d78371f9a57a

zbMATH Keywords

uncertainty principleFourier coefficientsultraspherical expansionsangular variancefrequency variationHeisenberg-Weyl inequality

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Harmonic analysis and spherical functions (43A90)

Related Items (21)

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Cites Work

• Unnamed Item
• Uncertainty principles in harmonic analysis
• Wavelets associated with periodic basis functions
• Nonstationary wavelets on the \(m\)-sphere for scattered data
• Uncertainty Principles and Signal Recovery
• Differential-Difference Operators Associated to Reflection Groups
• Optimal functions for a periodic uncertainty principle and multiresolution analysis
• An Uncertainty Principle for Commutative Hypergroups and Gelfand Pairs
• Coherent States and the Number-Phase Uncertainty Relation

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